Anisotropic Landau-Lifshitz sigma models from q-deformed AdS_5 x S^5 superstrings

Understand

We consider bosonic subsectors of the q-deformed AdS_5 x S^5 superstring action and study the classical integrable structure of anisotropic Landau-Lifshitz sigma models (LLSMs) derived by taking fast-moving limits.

• The subsectors are 1) deformed AdS_3 x S^1 and 2) R x deformed S^3.
• The cases 1) and 2) lead to a time-like warped SL(2) LLSM and a squashed S^3 LLSM, respectively.
• For each of them, we construct an infinite number of non-local conserved charges and show a quantum affine algebra at the classical level.